1 citations · 1 across the 1 of their papers we have counts for
4 papers
Learning Low Rank Neural Representations of Hyperbolic Wave Dynamics from Data
Woojin Cho, Kookjin Lee, Noseong Park +2
We present a data-driven dimensionality reduction method that is well-suited for physics-based data representing hyperbolic wave propagation. The method utilizes a specialized neur…
FastLRNR and Sparse Physics Informed Backpropagation
Woojin Cho, Kookjin Lee, Noseong Park +2
We introduce Sparse Physics Informed Backpropagation (SPInProp), a new class of methods for accelerating backpropagation for a specialized neural network architecture called Low Ra…
A Low Rank Neural Representation of Entropy Solutions
Donsub Rim, Gerrit Welper
We construct a new representation of entropy solutions to nonlinear scalar conservation laws with a smooth convex flux function in a single spatial dimension. The representation is…
Performance bounds for Reduced Order Models with Application to Parametric Transport
D. Rim, G. Welper
The Kolmogorov -width is an established benchmark to judge the performance of reduced basis and similar methods that produce linear reduced spaces. Although immensely successful…